A dealer buys an article listed at Rs. 3,000 and gets successive discounts of 15% and 15%. He spends Rs. 250 on transportation and sells it at a profit of 20%. Find the selling price of the article.

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)
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  1. Rs. 3,300
  2. Rs. 2,901
  3. Rs. 3,250
  4. Rs. 3,200

Answer (Detailed Solution Below)

Option 2 : Rs. 2,901
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Detailed Solution

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Given:

Marked price = Rs. 3000

Discounts = 15% and 15%

The cost of transportation = Rs. 250

Required profit = 20%

Formula used:

C.P. = [(100 - Discount%)/100] × M.P.

S.P. = C.P. × [(100 + Profit%)/100]

Where,

C.P. = Cost price;

S.P. = Selling price;

M.P. = Marked price

Calculation:

The cost price = 300 × [(100 - 15)/100] × [(100 - 15)/100]

⇒ 3000 × (85/100) × (85/100)

Rs. 2167.5

Total spending = 2167.5 + 250

⇒ Rs. 2417.5 

The selling price = 2417.5 × [(100 + 20)/100]

⇒ 2417.5 × (120/100)

⇒ Rs. 2901

∴ The required selling price is Rs. 2901.

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